Application of the DRA method to the calculation of the four-loop QED-type tadpoles

DOI10.1007/JHEP01(2011)068zbMath1214.81305arXiv1010.6117OpenAlexW3099064410MaRDI QIDQ544249

Yong-Cai Geng, Sumit K. Garg

Publication date: 14 June 2011

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.6117

zbMATH Keywords

QCDNLO computations

Mathematics Subject Classification ID

Strong interaction, including quantum chromodynamics (81V05) Feynman diagrams (81T18)

Related Items (3)

Introducing SummerTime: a package for high-precision computation of sums appearing in DRA method ⋮ The dimensional recurrence and analyticity method for multicomponent master integrals: using unitarity cuts to construct homogeneous solutions ⋮ Critical behavior of isotropic systems with strong dipole-dipole interaction: three-loop study

Uses Software

• MPFUN
• FIESTA

Cites Work

• Analytic results for massless three-loop form factors
• \texttt{FIESTA 2}: parallelizeable multiloop numerical calculations
• Space-time dimensionality \(\mathcal D\) as complex variable: calculating loop integrals using dimensional recurrence relation and analytical properties with respect to \(\mathcal D\)
• (Z\(\alpha )^{4}\) order of the polarization operator in Coulomb field at low energy
• High-precision \(\epsilon\)-expansions of massive four-loop vacuum bubbles
• HIGH-PRECISION CALCULATION OF MULTILOOP FEYNMAN INTEGRALS BY DIFFERENCE EQUATIONS
• Connection between Feynman integrals having different values of the space-time dimension

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